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Resorting to Wilsonian renormalization group (RG) transformations, we propose an emergent geometric description for a topological phase transition in the Kitaev superconductor model. An effective field theory consists of an emergent bulk…

High Energy Physics - Theory · Physics 2017-11-01 Ki-Seok Kim , Miok Park , Jaeyoon Cho , Chanyong Park

We develop a theory for quantum phases and quantum multicriticality in bilayer graphene in the presence of an explicit energy gap in the non-interacting spectrum by extending previous renormalization group (RG) analyses of electron-electron…

Strongly Correlated Electrons · Physics 2014-11-18 Robert E. Throckmorton , S. Das Sarma

Competition among repetitive measurements of noncommuting observables and unitary dynamics can give rise to a wide variety of entanglement phases. Here, we propose a general framework based on Lyapunov analysis to characterize topological…

Quantum Physics · Physics 2025-06-24 Hisanori Oshima , Ken Mochizuki , Ryusuke Hamazaki , Yohei Fuji

In the present paper we utilize the renormalization group(RG) technique to analyse the Ising critical behavior in the double frequency sine-Gordon model. The one-loop RG equations obtained show unambiguously that there exist two Ising…

Strongly Correlated Electrons · Physics 2007-05-23 Fei Ye , Guo-Hui Ding , Bo-Wei Xu

In the framework of the renormalization-group (RG) approach, critical phenomena can be investigated by studying the RG flow of multi-parameter $\Phi^4$ field theories with an $N$-component fundamental field, containing up to 4th-order…

High Energy Physics - Lattice · Physics 2009-04-14 Ettore Vicari

The investigation and characterization of topological quantum phase transition between gapless phases is one of the recent interest of research in topological states of matter. We consider transverse field Ising model with three spin…

Strongly Correlated Electrons · Physics 2021-01-18 Ranjith R Kumar , Y R Kartik , S Rahul , Sujit Sarkar

The field theory of the semimetal-superconductor quantum phase transition for graphene and surface states of topological insulators is presented. The Lagrangian possesses the global U(1) symmetry, with the self-interacting complex bosonic…

Strongly Correlated Electrons · Physics 2013-01-11 Bitan Roy , Vladimir Juricic , Igor F. Herbut

Topological phase transitions can be described by the theory of critical phenomena and identified by critical exponents that define their universality classes. This is a consequence of the existence of a diverging length at the transition…

Mesoscale and Nanoscale Physics · Physics 2019-12-05 S. Rufo , Nei Lopes , Mucio A. Continentino , Griffith M. A. R

Floquet Majorana Fermions appear as steady states at the boundary of time-periodic topological phases of matter. In this work, we theoretically study the main features of these exotic topological phases in the periodically driven…

Strongly Correlated Electrons · Physics 2015-01-13 Mónica Benito , Álvaro Gómez-León , Victor Bastidas , Tobias Brandes , Gloria Platero

We investigate the effects of dissipation and driving on topological order in superconducting nanowires. Rather than studying the non-equilibrium steady state, we propose a method to classify and detect dynamical signatures of topological…

Strongly Correlated Electrons · Physics 2019-03-07 Moos van Caspel , Sergio Enrique Tapias Arze , Isaac Pérez Castillo

We analyze the effect of decoherence, modelled by local quantum channels, on quantum critical states and we find universal properties of the resulting mixed state's entanglement, both between system and environment and within the system.…

Quantum Physics · Physics 2023-07-05 Yijian Zou , Shengqi Sang , Timothy H. Hsieh

The bifurcation transition is studied for the onset of intermittency analogous to the Pomeau-Manneville mechanism of type-I, but generalized for the presence of a quasiperiodic external force. The analysis is concentrated on the…

Chaotic Dynamics · Physics 2009-11-07 Sergey P. Kuznetsov

We use an alternative method to investigate the quantum criticality at zero and finite temperature using trace distance along with the density matrix renormalization group. It is shown that the average correlation measured by the trace…

Quantum Physics · Physics 2016-09-08 Da-Wei Luo , Jing-Bo Xu

In this paper, we analyze the quantum criticality of the Rabi-Stark model at finite ratios of the qubit and cavity frequencies in terms of the energy gap, the order parameter, as well as the fidelity, if the Stark coupling strength is the…

Quantum Physics · Physics 2021-01-01 Xiang-You Chen , You-Fei Xie , Qing-Hu Chen

In topological insulators and topological superconductors, the discrete jump of the topological invariant upon tuning a certain system parameter defines a topological phase transition. A unified framework is employed to address the quantum…

Mesoscale and Nanoscale Physics · Physics 2019-07-24 Wei Chen , Andreas P. Schnyder

An introduction to the theory of critical behavior at Lifshitz points is given, and the recent progress made in applying the field-theoretic renormalization group (RG) approach to $\phi^4$ $n$-vector models representing universality classes…

Statistical Mechanics · Physics 2007-05-23 H. W. Diehl

The Ma-Dasgupta-Hu renormalization group (RG) scheme is used to study singular quantities in the Griffiths phase of random quantum spin chains. For the random transverse-field Ising spin chain we have extended Fisher's analytical solution…

Statistical Mechanics · Physics 2009-10-31 Ferenc Igloi , Robert Juhasz , Peter Lajko

Recent tunneling experiments on InSb hybrid superconductor-semiconductor devices have provided hope for a stabilization of Majorana edge modes in a spin-orbit quantum wire subject to a magnetic field and superconducting proximity effect.…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Ronny Thomale , Stephan Rachel , Peter Schmitteckert

We analyze mechanisms for universal out-of-equilibrium dynamics near criticality by exploring the effect of randomized quantum resetting (QR) under a finite-time quench across a quantum phase transition. Using the transverse-field Ising…

Statistical Mechanics · Physics 2026-02-03 R. Jafari , Henrik Johannesson , Sebastian Eggert

In clean and weakly disordered systems, topological and trivial phases having a finite bulk energy gap can transit to each other via a quantum critical point. In presence of strong disorder, both the nature of the phases and the associated…

Disordered Systems and Neural Networks · Physics 2025-06-26 Saikat Mondal , Adhip Agarwala